Complement of a fuzzy set A ' ={(X 1 ,0.8) , (X 2 , 0.2)} is –
2022
Complement of a fuzzy set A ' ={(X 1 ,0.8) , (X 2 , 0.2)} is –
- A.
{(X₁, 0.2), (X₂, 0.8)}
- B.
{(X₁, 1), (X₂, 1)}
- C.
{(X₁, 0.6), (X₂, 0.6)}
- D.
) {(X₁, 0.4), (X₂, 0.1)}
Attempted by 129 students.
Show answer & explanation
Correct answer: A
Complement of a fuzzy membership value is: μ′=1−μ So: For X 1 : 1−0.8=0.2
For X 2 : 1−0.2 = 0.8
Thus complement = {(X₁, 0.2), (X₂, 0.8)}